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Finding the Fourth Proportional to 1,594.33, 2,386.38 and 852.09

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Solution

The fourth proportional to 1,594.33, 2,386.38 and 852.09 is: 1,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.33 : 2,386.38 = 852.09 : x
  2. Step 2: Convert to fraction form
    1,594.33/2,386.38 = 852.09/x
  3. Step 3: Cross multiply
    1,594.33x = 2,386.38 × 852.09
  4. Step 4: Simplify right side
    1,594.33x = 2,033,410.53
  5. Step 5: Solve for x
    x = 2,033,410.53/1,594.33
  6. Step 6: Final answer
    x = 1,275.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.